When did the Roman Empire fall (your thoughts)?

[sonic]

I'm curious though, if you're correct about the chronology, what would have been the point of sending the embassy in your view?

As to the chronology, Leo met Attila in the north-eastern region of Italy when Attila was already on his way home. If Attila had wanted to attack Rome, he would have done it earlier, before his men had lost casualties due to disease and the ongoing famine in Italy.

The purpose of the embassy was to secure the release of captives, as revealed in a letter from Eastern bishops to Pope Symmachus, dated to 512/513 (Patrologiae Latina, 52, 59-60).